Statistical Properties of digital expansions

Digital expansions of natural numbers are used in many different areas
of mathematics (to say nothing of the binary representation of
numbers in every computer). Especially they occur in various algorithms,
e.g. for computing powers with large exponents, and for generating
random numbers. Therefore there is a demand for investigating statistical
properties of digital expansions. This research project aims at
applications as well as at theoretical aspects, most of which are of a
number-theorical nature.